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Finding the Fourth Proportional to 207,297, 286,066.50 and 116,652.92

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Solution

The fourth proportional to 207,297, 286,066.50 and 116,652.92 is: 160,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,297 : 286,066.50 = 116,652.92 : x
  2. Step 2: Convert to fraction form
    207,297/286,066.50 = 116,652.92/x
  3. Step 3: Cross multiply
    207,297x = 286,066.50 × 116,652.92
  4. Step 4: Simplify right side
    207,297x = 33,370,490,671.40
  5. Step 5: Solve for x
    x = 33,370,490,671.40/207,297
  6. Step 6: Final answer
    x = 160,979.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.